Least Common Multiple of 296, 506, 850, 256, 564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 296, 506, 850, 256, 564 i.e. 143605228800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 296, 506, 850, 256, 564 is 143605228800.

LCM(296, 506, 850, 256, 564) = 143605228800

LCM of 296, 506, 850, 256, 564

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 296,506,850,256,564

Least Common Multiple (LCM) of 296,506,850,256,564 is 143605228800

2 296, 506, 850, 256, 564
2 148, 253, 425, 128, 282
2 74, 253, 425, 64, 141
37, 253, 425, 32, 141

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 253 x 425 x 32 x 141 = 143605228800

Least Common Multiple of 296,506,850,256,564 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 296,506,850,256,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,506,850,256,564) = 2

common factors(in case of two or more numbers have common factors) = 64

GCF(296,506,850,256,564) x common factors =2 x 64 = 128

LCM(296,506,850,256,564) = ( 296 × 506 × 850 × 256 × 564 ) / 128

LCM(296,506,850,256,564) = 18381469286400 / 128

LCM(296,506,850,256,564) = 143605228800

∴ Least Common Multiple of 296,506,850,256,564 is 143605228800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 296, 506, 850, 256, 564

1. What is the LCM of 296, 506, 850, 256, 564?

Answer: LCM of 296, 506, 850, 256, 564 is 143605228800.

2. What are the Factors of 143605228800?

Answer: Factors of 143605228800 are . There are integers that are factors of 143605228800

3. How to Find the LCM of 296, 506, 850, 256, 564 ?

Least Common Multiple of 296, 506, 850, 256, 564.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(296, 506, 850, 256, 564) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 17 x 23 x 37 x 47 = 143605228800.